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marusya05 [52]
3 years ago
7

Factorize (x^2-y^2)z + (y^2-z^2)x​

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

(y+x)(y-x)(x-z)

Step-by-step explanation:

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The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
Instructions
Naya [18.7K]

Answer:

yes

Step-by-step explanation:

youre trying to find when -1/4x + 3/2 = -x+ 3

so if you set it up like that and then solve for x you get 2

then, you know that 2 is your x value so just plug in x into one of the equations to get the y value

(i used -x+3 bc its easier)

-2+3=y

y= 1

so your solution is (2,1)

also heres the graph

5 0
3 years ago
Y > x + 1
Romashka-Z-Leto [24]

Answer:A D F

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Evaluate -3.25 - 2.75z for z = -4.
Usimov [2.4K]
The answer is $7.75 -3.25-2.75x-4=$7.75
4 0
3 years ago
What is the square root of -1?<br> -j.<br> -1
Sindrei [870]

Answer:

Its not a real number for the square roots of negative number

its not possible... \sqrt{-4} = -2 x -2   no...   2 x 2   no..... -2 x 2 yea but thats not square root anymore...

Step-by-step explanation:

Give me brainliest!!!

7 0
3 years ago
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